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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 6
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Articles

Tseng's extragradient algorithm for pseudomonotone variational inequalities on Hadamard manifolds

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Pages 2372-2385 | Received 20 Feb 2020, Accepted 31 Jul 2020, Published online: 17 Aug 2020
 

ABSTRACT

In this paper, we investigate the Tseng's extragradient algorithm for non-Lipschitzian variational inequalities with pseudomonotone vector fields on Hadamard manifolds. The convergence analysis of the proposed algorithm is discussed under mild assumptions. Two experiments are provided to illustrate the asymptotical behavior of the algorithm. The results presented in this paper generalize some known results presented in the literature.

2010 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author(s).

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